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(a+b)(a-b) Expansion and Visualisation

Factorise the...

Question

Factorise the following expressions.
$q^{2} - 10 q + 21$

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Solution

$q^{2} - 10 q + 21 = q^{2} - 7 q - 3 q + 21 = q (q - 7) - 3 (q - 7) = (q - 3) (q - 7)$

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